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Last month, John rejected 0.5% of the products that he inspected and

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Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Oct 2009, 01:15
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A
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D
E

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Question Stats:

75% (02:19) correct 25% (06:16) wrong based on 9 sessions
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16
[Reveal] Spoiler: OA
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Oct 2009, 09:37
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IMO D 5/6

Basically you have the formula
0.8x+0.6y=0.75T

x=products jane rejected
y=products John rejected
T=total

i.e 8x+5y=7.5T
Now you just need to try different number to see which one will fit here.
Put x=1/6T y=5/6T (1-1/6T)
you get 8(1/6)+5(5/6) = 33/6 < 7.5 does not match with 7.5
try x=5/6T y=1/6T
8(5/6)+5(1/6)=45/6=7.5 matches so thats your answer.
You can plugin other numbers but it wont give you the exact 7.5

I have seen many GMAT problem including DS where you have to plugin numbers.
consider kudos if you like the answer.
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Oct 2009, 10:47
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X - fraction of products Jane inspected
(1 - X) - fraction of products John inspected

0.8(X) + 0.5(1-X) = 0.75
0.3X = 0.75 - 0.5
X = 0.25/0.3
X = 5/6

Therefore the answer is D: 5/6.
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Oct 2009, 12:48
I never thought about solving it that way. Good idea AKProdigy87. Thanks.
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Oct 2009, 18:13
Yeah AKProdigy87 did it the exact way I did it. I'll give you kudos for that, homie.
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Oct 2009, 22:34
produced = 1000
Rejected = 7.5

John = 0.5x (1/6)
Jane = 0.8y (5/6)

0.005x+0.008y = 7.5
x+y = 1000

0.005x + 0.008(1000-x) = 7.5
-0.003x = 7.5-8


0.003x = 0.5
x = 166.67


So Jane inspected 5/6 of the total products
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 06 Mar 2010, 23:07
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swat wrote:
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?

A/ 1/6
B/ 1/2
C/ 5/8
D/ 5/6
E/ 15/16



Lets be smarter...what if this is the last question and we are left with just 1 minute to do it....

We knw that total rejections were .75% that means Jane would have done the bulk of rejections given that his rejection rate is .80%. clearly the options A,B and C would thus be eliminated that are around 50% mark. Now choose 1 between D and E that would atleast raise your chances of getting the solution right by 50%.

No problems if you have loads of time. This can even work at that time as you have to choose and work between D and E only.

Hope this helps !!
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 25 Apr 2010, 10:29
5X+8Y=.75T

substitute 1,5=6(total)

5+40=45
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Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink] New post 15 Dec 2015, 00:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Last month, John rejected 0.5% of the products that he inspected and   [#permalink] 15 Dec 2015, 00:50
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